b. Solve the
Schrödinger’s wave equation for allowed energy values in case of a
particle in a potential box. (06 Marks)

c. State and explain
Heisenberg’s uncertainty principle and prove that nuclei do not
contain electron. (05 Marks)

d.
A quantum particle confined to one dimensional box of width ‘a’
is in its first excited state. What is the probability of finding the
particle over an interval of ( marked symmetrically at the centre of
box.
(05 Marks)

3 a. i) The fermi
factor for E = EF at T > 0K is

A) 1 B) ½ C)
0 D) 2

ii) Mobility of
electron is

A) Reciprocal of
conductivity B) Flow of electrons per unit

C) Reciprocal of
resistivity D) Average electron drift velocity per unit electric
field

iii) According to
quantum free electron theory, the energy level in a metal are

ii)
The product of uncertainty between angular momentum and angular displacement is

A) ≥ ħ/2p B) ≥ ħ /4p C) ≤ ħ /4p
D) ≥ ħ /2

iii) The ground state energy of an electron in an one dimensional
infinite potential well of width 2Å is 16 eV. Its energy in third excited state
is

A) 32 eV B) 64 eV C) 144 eV D) 256 eV

iv)
The wavefunction is acceptable if it is

A) Finite everywhere B)
Continuous everywhere

C) Single valued everywhere D) All of
these

(04
Marks)

b. State
and explain Heisenberg’s uncertainty principle and prove that nuclei do not
contain electron. (06
Marks)

c. What is a wave function? Explain the
properties of a wave function. (04
Marks)

d. A
quantum particle confined to one dimensional box of width ‘a’ is in its first
excited state. What is the probability of finding the particle over an interval
of ( marked
symmetrically at the centre of box. (06
Marks)

A) Ultrasonic waves are produced B) electromagnetic
waves are produced

C) microwaves are produced D) none of the above

ii) If
two electric charges are q, separated by a distance L, the dipole moment of the
system is

A)
q/L B) L/q C) qL D)
q/L2

iii) The
relation between B, M and H is

A)
H = m0(M+B) B) M = m0(H+B) C) B = m0(H+M) D) None of these

iv) The
relative permeability for diamagnetic materials is

A) Slightly
greater than one B) Zero C) less than one D) very much greater than one (04
Marks)

b. Derive the expression for internal field in
solids. (08
Marks)

c. Distinguish between hard and soft magnetic
materials. (04
Marks)

d. The atomic weight and density of sulphur
are 32 and 2.08 g/cc respectively. The electronic polarizability of the atom is
3.28×10-40 F.m2. If sulphur solid has cubic symmetry,
what will be its relative permittivity? (04
Marks)

PART-B

5 a. i) The emission of photon without
aided by any external agency is called